2.8 and Chapter 4

Why this is not One-to-One function?

• Because two inputs (-3 & -2) result in the same output (7)

• Because one of the inputs (-3) can result in two outputs (5 & 6)

• Because the arrows don't cross

• Because the inputs are negative put the outputs are positive

Does this mapping diagram represent a function?

• No, because there are repeating input values

• Yes, because there are no repeating input values

For a function to be a one-to-one function, For every x there must be one y and for every y there must be one x

• True

• False

• One-to-One Function

• Not One-to-One Function

To determine if a function is a one-to-one function by looking at it's graph,

it must passed the vertical and horizontal line test

• False

• True

Which of the following relations is a one-to-one function?

• {(0,2), (0,4), (0,5), (0,6)}

• {(1,3), (4,3), (8,3), (3,1)}

• {(5,-1), (6,3), (1,2), (7,-8)}

• {(1,2), (3,4), (-1,-2), (1,5)}

Which of the following relations is a one-to-one function?

• 
• 
• 
• 

 $f\left(x\right)=3x$  
Find  $f^{-1}\left(x\right)$  

•  $\frac{x}{3}$  

•  $\frac{3}{x}$  

•  $0.3x$  

•  $x\times3$  

Select the two functions which are inverses of each other:

• $x+10$

• $x-10$

• $\frac{x}{10}$

• $\frac{10}{x}$

 $f\left(x\right)=5x+1$  
Find  $f^{-1}\left(x\right)$  

•  $\frac{x-5}{1}$  

•  $\frac{x}{5}-1$  

•  $x-\frac{1}{5}$  

•  $\frac{x-1}{5}$